General Strategy for Problem Solving

A good problem-solving approach consists of the following steps:

Step 1: Understand the Problem

• Read the problem carefully
• Identify what is given
• Identify what needs to be found

Step 2: Draw a Diagram

Visualizing the situation is extremely helpful.

• Draw all forces
• Indicate motion
• Label known quantities

Step 3: Choose a Coordinate System

Select axes that simplify the problem:

• Horizontal and vertical axes
• Axes along incline
• Polar coordinates (if needed)

Step 4: Identify Relevant Principles

Decide which laws apply:

• Kinematics equations
• Newton’s laws
• Work-energy theorem
• Conservation of momentum

Step 5: Write Equations

Translate the physical situation into mathematical form.

Step 6: Solve the Equations

• Use algebra
• Substitute known values
• Solve step-by-step

Step 7: Check the Answer

• Units should be correct
• Magnitude should be reasonable
• Direction should make sense